Inversion of the Dunkl Intertwining Operator and Its Dual Using Dunkl Wavelets

Abstract

We consider in this work the Dunkl intertwining operator V k and its dual t V k on R d . Using these operators we give relations between the Dunkl continuous wavelet transform on R d and the classical continuous wavelet transform on R d , and we deduce the formulas which give the inverse operators of V k and t V k .